Some people naturally have irregular periods, but it just sounds like your body is adjusting to birth control/that type might not be right for you. I don't know where you live, but a doctor or nurse in a sexual health drop in clinic should definitely be able to help if you don't particularly want to make an appointment to see your regular doctor/don't have time. They often have more specific knowledge as well, so they can help if it's just your body getting used to the pill, or if they think you could take another type of the pill.
I had a similar problem with the depo injection to someone upthread (took it to sort out incredibly heavy and irregular periods, and it made me bleed constantly for months). But then again, the injection works fine for some people. It's just trial and error, I guess. Some people prefer implants, the coil and the injection because that way you don't have to worry about remembering to take your pill every day.
If you decide birth control isn't the way forwards in regards to helping your irregular periods, doctors can also offer a medicine called mefenamic acid, which will help your periods get lighter (but not stop them) and also reduce pain. It isn't as good as the pill or injection or implant, obviously, but it's something if you ever get tired of switching to different types of the pill or whatever. It also has drawbacks if you have stomach ulcers already or kidney problems. Just a suggestion, though.
I hope it all clears up though, and I hope the pill works well for you!